TAUGHT COURSES
Undergraduate
Single variable Calculus
Multivariable Calculus
Complex Analysis
Integration theory
Posgraduate
Spectral Theory
Functional Analysis
Integration theory
Pseudodifferential calculus
Analytic functions
Basic Analysis
Other courses
2017 A course on differential equations. (Intensive master course), at AIMS, Birwa, Ghana.
2016 Analytic Methods of Partial Differential Equations, at Imperial College London : TCC master course broadcast to the universities of Oxford, Sussex, Bristol, Warwick, Bath .
STUDENTS
PhD
2024-: (Supervisor) Luis Miguel Solarte
2023- :(Supervisor) Ricardo Acevedo
2023- :(Supervisor) Javier Henriquez
2019- : (supervisor- cotutelle, in progress) Juan P Velasquez, Ghent University and Universidad del Valle
2019-2023 : (co-supervisor)Duvan Cardona, Ghent University
2015-2019 : Andres Muñoz. On the differentiability of Lipschitz functions on Banach spaces
Co-supervisor of several PhD students. Imperial College London.
Examiner for several PhD students.
Master : 2023- (in progress) Laura Zea
Frederick Opoku. On a Class of Vector-Valued Pseudo-Differential Operators and Partial Differential Equations. University of Ghana. 2021.
Carlos A. Rodriguez. Thesis's title : Lp bounds for pseudodifferential operators on Zn, 2011.
Undergraduate :
Kevin Velez. The EIT and its mathematical foundations.
Camilo Rivera. Schatten-von Neumann classes and the Weyl inequality.
Alejandro Umaña, Fast Fourier transform on compact groups
Juan Pablo Lopez, Qunatum information theory
Franklin Manjarres, Vector-valued psuedodifferential oeprators. 2024
Sebastian Vargas. On the Approximation property. 2021.
Duvan Cardona. Thesis's title : Invertibility of non-elliptic operators, 2013.
Oscar E. Escobar. El problema de Dirichlet. 2009.
Alex Zamudio. Invertibilidad para una clase de operadores elipticos degenerados en el marco del calculo de Weyl-Hörmander . 2008
Wilmar Bolaños. El problema de la traza en Lp. 2007.